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150704407680 = 2735587133717
BaseRepresentation
bin1000110001011010101…
…1101100010010000000
3112101222211221010112220
42030112223230102000
54432120312021210
6153122130251040
713613411220651
oct2142653542200
9471884833486
10150704407680
1158a05789062
122525a726a80
13112994a2b38
147419155528
153dc0872c70
hex2316aec480

150704407680 has 128 divisors (see below), whose sum is σ = 481192246080. Its totient is φ = 40119078912.

The previous prime is 150704407657. The next prime is 150704407687. The reversal of 150704407680 is 86704407051.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (150704407687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1060182 + ... + 1193898.

Almost surely, 2150704407680 is an apocalyptic number.

150704407680 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 150704407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240596123040).

150704407680 is an abundant number, since it is smaller than the sum of its proper divisors (330487838400).

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

150704407680 is a wasteful number, since it uses less digits than its factorization.

150704407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134326 (or 134314 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 150704407680 in words is "one hundred fifty billion, seven hundred four million, four hundred seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 587 640 960 1174 1761 1920 2348 2935 3522 4696 5870 7044 8805 9392 11740 14088 17610 18784 23480 28176 35220 37568 46960 56352 70440 75136 93920 112704 133717 140880 187840 225408 267434 281760 375680 401151 534868 563520 668585 802302 1069736 1127040 1337170 1604604 2005755 2139472 2674340 3209208 4011510 4278944 5348680 6418416 8023020 8557888 10697360 12836832 16046040 17115776 21394720 25673664 32092080 42789440 51347328 64184160 78491879 85578880 128368320 156983758 235475637 256736640 313967516 392459395 470951274 627935032 784918790 941902548 1177378185 1255870064 1569837580 1883805096 2354756370 2511740128 3139675160 3767610192 4709512740 5023480256 6279350320 7535220384 9419025480 10046960512 12558700640 15070440768 18838050960 25117401280 30140881536 37676101920 50234802560 75352203840 150704407680