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1009803472216 = 2371117234192561
BaseRepresentation
bin11101011000111001111…
…10100010110101011000
310120112110221101102011121
432230130332202311120
5113021034142102331
62051521452535024
7132645604614460
oct16543476426530
93515427342147
101009803472216
1135a289809750
12143859181474
13742bb346286
1436c3644cba0
151b402253c11
hexeb1cfa2d58

1009803472216 has 128 divisors (see below), whose sum is σ = 2608108968960. Its totient is φ = 354187468800.

The previous prime is 1009803472213. The next prime is 1009803472229. The reversal of 1009803472216 is 6122743089001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009803472213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1855425 + ... + 2337136.

It is an arithmetic number, because the mean of its divisors is an integer number (20375851320).

Almost surely, 21009803472216 is an apocalyptic number.

It is an amenable number.

1009803472216 is an abundant number, since it is smaller than the sum of its proper divisors (1598305496744).

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

1009803472216 is a wasteful number, since it uses less digits than its factorization.

1009803472216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192625 (or 4192621 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 1009803472216 in words is "one trillion, nine billion, eight hundred three million, four hundred seventy-two thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 17 22 23 28 34 44 46 56 68 77 88 92 119 136 154 161 184 187 238 253 308 322 374 391 476 506 616 644 748 782 952 1012 1288 1309 1496 1564 1771 2024 2618 2737 3128 3542 4301 5236 5474 7084 8602 10472 10948 14168 17204 21896 30107 34408 60214 120428 240856 4192561 8385122 16770244 29347927 33540488 46118171 58695854 71273537 92236342 96428903 117391708 142547074 184472684 192857806 234783416 285094148 322827197 368945368 385715612 498914759 570188296 645654394 675002321 771431224 784008907 997829518 1060717933 1291308788 1350004642 1568017814 1639291351 1995659036 2121435866 2582617576 2700009284 3136035628 3278582702 3991318072 4242871732 5400018568 5488062349 6272071256 6557165404 7425025531 8485743464 10976124698 11475039457 13114330808 14850051062 18032204861 21952249396 22950078914 29700102124 36064409722 43904498792 45900157828 59400204248 72128819444 91800315656 126225434027 144257638888 252450868054 504901736108 1009803472216