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36102561040 = 2457313101207
BaseRepresentation
bin100001100111111000…
…010101110100010000
310110012001100010100101
4201213320111310100
51042414223423130
624330231102144
72415440464000
oct414770256420
9113161303311
1036102561040
1114346a55507
126bb6811954
133534790270
141a66b14000
15e147701ca
hex867e15d10

36102561040 has 160 divisors (see below), whose sum is σ = 105418252800. Its totient is φ = 11425752576.

The previous prime is 36102561031. The next prime is 36102561127. The reversal of 36102561040 is 4016520163.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306117 + ... + 407323.

It is an arithmetic number, because the mean of its divisors is an integer number (658864080).

Almost surely, 236102561040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36102561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52709126400).

36102561040 is an abundant number, since it is smaller than the sum of its proper divisors (69315691760).

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

36102561040 is a wasteful number, since it uses less digits than its factorization.

36102561040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101254 (or 101234 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 36102561040 in words is "thirty-six billion, one hundred two million, five hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 130 140 182 196 208 245 260 280 343 364 392 455 490 520 560 637 686 728 784 910 980 1040 1274 1372 1456 1715 1820 1960 2548 2744 3185 3430 3640 3920 4459 5096 5488 6370 6860 7280 8918 10192 12740 13720 17836 22295 25480 27440 35672 44590 50960 71344 89180 101207 178360 202414 356720 404828 506035 708449 809656 1012070 1315691 1416898 1619312 2024140 2631382 2833796 3542245 4048280 4959143 5262764 5667592 6578455 7084490 8096560 9209837 9918286 10525528 11335184 13156910 14168980 18419674 19836572 21051056 24795715 26313820 28337960 34714001 36839348 39673144 46049185 49591430 52627640 56675920 64468859 69428002 73678696 79346288 92098370 99182860 105255280 128937718 138856004 147357392 173570005 184196740 198365720 257875436 277712008 322344295 347140010 368393480 396731440 451282013 515750872 555424016 644688590 694280020 736786960 902564026 1031501744 1289377180 1388560040 1805128052 2256410065 2578754360 2777120080 3610256104 4512820130 5157508720 7220512208 9025640260 18051280520 36102561040