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30729222672228 = 223241101206131253
BaseRepresentation
bin1101111110010101101000…
…11001101100111101100100
311000210200111100210201100200
412333022310121230331210
513011431422001002403
6145204450543510500
76321053533003653
oct677126431547544
9130720440721320
1030729222672228
1198782100a8933
1235436425b8430
13141b9a3bc8c02
1478343379319a
1538450e610ca3
hex1bf2b466cf64

30729222672228 has 72 divisors (see below), whose sum is σ = 80359032584376. Its totient is φ = 9894300096000.

The previous prime is 30729222672199. The next prime is 30729222672257. The reversal of 30729222672228 is 82227622292703.

30729222672228 is a `hidden beast` number, since 3 + 0 + 72 + 92 + 2 + 267 + 2 + 228 = 666.

It is an interprime number because it is at equal distance from previous prime (30729222672199) and next prime (30729222672257).

It can be written as a sum of positive squares in 4 ways, for example, as 742230494784 + 29986992177444 = 861528^2 + 5476038^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102916551 + ... + 103214702.

It is an arithmetic number, because the mean of its divisors is an integer number (1116097674783).

Almost surely, 230729222672228 is an apocalyptic number.

It is an amenable number.

30729222672228 is an abundant number, since it is smaller than the sum of its proper divisors (49629809912148).

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

30729222672228 is a wasteful number, since it uses less digits than its factorization.

30729222672228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206131405 (or 206131400 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 30729222672228 in words is "thirty trillion, seven hundred twenty-nine billion, two hundred twenty-two million, six hundred seventy-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 101 123 164 202 246 303 369 404 492 606 738 909 1212 1476 1818 3636 4141 8282 12423 16564 24846 37269 49692 74538 149076 206131253 412262506 618393759 824525012 1236787518 1855181277 2473575036 3710362554 7420725108 8451381373 16902762746 20819256553 25354144119 33805525492 41638513106 50708288238 62457769659 76062432357 83277026212 101416576476 124915539318 152124864714 187373308977 249831078636 304249729428 374746617954 749493235908 853589518673 1707179037346 2560768556019 3414358074692 5121537112038 7682305668057 10243074224076 15364611336114 30729222672228