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149602046300 = 22527734995867
BaseRepresentation
bin1000101101010011111…
…0100001000101011100
3112022011000122101000122
42023110332201011130
54422341110440200
6152420511014112
713544164261250
oct2132476410534
9468130571018
10149602046300
115849a5006a3
1224bb150a338
1311151ca63b5
1473529a0260
153d58bc2385
hex22d4fa115c

149602046300 has 144 divisors (see below), whose sum is σ = 376913376000. Its totient is φ = 50479511040.

The previous prime is 149602046287. The next prime is 149602046381. The reversal of 149602046300 is 3640206941.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25495967 + ... + 25501833.

It is an arithmetic number, because the mean of its divisors is an integer number (2617454000).

Almost surely, 2149602046300 is an apocalyptic number.

149602046300 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 149602046300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188456688000).

149602046300 is an abundant number, since it is smaller than the sum of its proper divisors (227311329700).

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

149602046300 is a wasteful number, since it uses less digits than its factorization.

149602046300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6460 (or 6453 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 149602046300 in words is "one hundred forty-nine billion, six hundred two million, forty-six thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 73 100 140 146 175 292 350 365 499 511 700 730 998 1022 1460 1825 1996 2044 2495 2555 3493 3650 4990 5110 5867 6986 7300 9980 10220 11734 12475 12775 13972 17465 23468 24950 25550 29335 34930 36427 41069 49900 51100 58670 69860 72854 82138 87325 117340 145708 146675 164276 174650 182135 205345 254989 293350 349300 364270 410690 428291 509978 586700 728540 821380 856582 910675 1019956 1026725 1274945 1713164 1821350 2053450 2141455 2549890 2927633 2998037 3642700 4106900 4282910 5099780 5855266 5996074 6374725 8565820 10707275 11710532 11992148 12749450 14638165 14990185 20493431 21414550 25498900 29276330 29980370 40986862 42829100 58552660 59960740 73190825 74950925 81973724 102467155 146381650 149901850 204934310 213717209 292763300 299803700 409868620 427434418 512335775 854868836 1024671550 1068586045 1496020463 2049343100 2137172090 2992040926 4274344180 5342930225 5984081852 7480102315 10685860450 14960204630 21371720900 29920409260 37400511575 74801023150 149602046300