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10250059671040 = 2957837768281
BaseRepresentation
bin1001010100101000011100…
…1010100110011000000000
31100021220012021121201020011
42111022013022212120000
52320414110233433130
633444451251354304
72105354014441150
oct225120712463000
940256167551204
1010250059671040
1132a2031513a82
1211966442b2994
135947656aa707
14276169834760
1512b9630e752a
hex952872a6600

10250059671040 has 160 divisors (see below), whose sum is σ = 28090758129984. Its totient is φ = 3513835192320.

The previous prime is 10250059671023. The next prime is 10250059671077. The reversal of 10250059671040 is 4017695005201.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10250059670984 and 10250059671002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150081700 + ... + 150149980.

Almost surely, 210250059671040 is an apocalyptic number.

10250059671040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10250059671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14045379064992).

10250059671040 is an abundant number, since it is smaller than the sum of its proper divisors (17840698458944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10250059671040 is an frugal number, since it uses more digits than its factorization.

10250059671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76688 (or 76672 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 10250059671040 in words is "ten trillion, two hundred fifty billion, fifty-nine million, six hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 8377 8960 16754 17920 33508 41885 58639 67016 68281 83770 117278 134032 136562 167540 234556 268064 273124 293195 335080 341405 469112 477967 536128 546248 586390 670160 682810 938224 955934 1072256 1092496 1172780 1340320 1365620 1876448 1911868 2144512 2184992 2345560 2389835 2680640 2731240 3752896 3823736 4289024 4369984 4691120 4779670 5361280 5462480 7505792 7647472 8739968 9382240 9559340 10722560 10924960 15011584 15294944 17479936 18764480 19118680 21445120 21849920 30023168 30589888 34959872 37528960 38237360 43699840 61179776 75057920 76474720 87399680 122359552 150115840 152949440 174799360 244719104 305898880 571989937 611797760 1143979874 1223595520 2287959748 2859949685 4003929559 4575919496 5719899370 8007859118 9151838992 11439798740 16015718236 18303677984 20019647795 22879597480 32031436472 36607355968 40039295590 45759194960 64062872944 73214711936 80078591180 91518389920 128125745888 146429423872 160157182360 183036779840 256251491776 292858847744 320314364720 366073559680 512502983552 640628729440 732147119360 1025005967104 1281257458880 1464294238720 2050011934208 2562514917760 5125029835520 10250059671040