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201030276496 = 24726722392
BaseRepresentation
bin1011101100111001010…
…1101001010110010000
3201012220010221011011011
42323032111221112100
511243202222321441
6232204012300304
720344501104400
oct2731625512620
9635803834134
10201030276496
1178290394185
1232b64771694
1315c598ca13a
149a30c70800
155368b36581
hex2ece569590

201030276496 has 135 divisors (see below), whose sum is σ = 461883334059. Its totient is φ = 84514820544.

The previous prime is 201030276493. The next prime is 201030276509. The reversal of 201030276496 is 694672030102.

It is a happy number.

The square root of 201030276496 is 448364.

It is a perfect power (a square), and thus also a powerful number.

201030276496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201030276493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 841130745 + ... + 841130983.

Almost surely, 2201030276496 is an apocalyptic number.

201030276496 is the 448364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201030276496

201030276496 is an abundant number, since it is smaller than the sum of its proper divisors (260853057563).

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

201030276496 is an frugal number, since it uses more digits than its factorization.

201030276496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 201030276496 in words is "two hundred one billion, thirty million, two hundred seventy-six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 67 98 112 134 196 239 268 392 469 478 536 784 938 956 1072 1673 1876 1912 3283 3346 3752 3824 4489 6566 6692 7504 8978 11711 13132 13384 16013 17956 23422 26264 26768 31423 32026 35912 46844 52528 57121 62846 64052 71824 93688 112091 114242 125692 128104 187376 219961 224182 228484 251384 256208 399847 439922 448364 456968 502768 784637 799694 879844 896728 913936 1072871 1569274 1599388 1759688 1793456 2145742 2798929 3138548 3198776 3519376 3827107 4291484 5597858 6277096 6397552 7510097 7654214 8582968 11195716 12554192 15020194 15308428 17165936 22391432 26789749 30040388 30616856 44782864 52570679 53579498 60080776 61233712 105141358 107158996 120161552 187528243 210282716 214317992 256416169 375056486 420565432 428635984 512832338 750112972 841130864 1025664676 1500225944 1794913183 2051329352 3000451888 3589826366 4102658704 7179652732 12564392281 14359305464 25128784562 28718610928 50257569124 100515138248 201030276496