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21016604625654 = 231153179180118637
BaseRepresentation
bin1001100011101010011110…
…10000001100101011110110
32202102011112022102022102010
410301311033100030223312
510223314001241010104
6112410521143225050
74266254024534151
oct461651720145366
982364468368363
1021016604625654
116773101455a50
1224351aa448186
13b95b1b690951
145292cda64c98
15266a54226489
hex131d4f40caf6

21016604625654 has 128 divisors (see below), whose sum is σ = 47009198983680. Its totient is φ = 6209813376000.

The previous prime is 21016604625637. The next prime is 21016604625703. The reversal of 21016604625654 is 45652640661012.

It is a happy number.

It is a super-2 number, since 2×210166046256542 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1127672424 + ... + 1127691060.

It is an arithmetic number, because the mean of its divisors is an integer number (367259367060).

Almost surely, 221016604625654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21016604625654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23504599491840).

21016604625654 is an abundant number, since it is smaller than the sum of its proper divisors (25992594358026).

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

21016604625654 is a wasteful number, since it uses less digits than its factorization.

21016604625654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20686.

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 21016604625654 in words is "twenty-one trillion, sixteen billion, six hundred four million, six hundred twenty-five thousand, six hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 179 318 358 537 583 1074 1166 1749 1801 1969 3498 3602 3938 5403 5907 9487 10806 11814 18637 18974 19811 28461 37274 39622 55911 56922 59433 95453 104357 111822 118866 190906 205007 208714 286359 313071 322379 410014 572718 615021 626142 644758 967137 987761 1049983 1230042 1934274 1975522 2099966 2963283 3149949 3336023 3546169 5926566 6299898 6672046 7092338 10008069 10638507 10865371 17086087 20016138 21277014 21730742 32596113 33565237 34172174 36696253 51258261 65192226 67130474 73392506 100695711 102516522 110088759 176809219 187946957 201391422 220177518 353618438 369217607 375893914 530427657 563840871 738435214 1060855314 1107652821 1127681742 1778957561 1944901409 2215305642 3557915122 3889802818 5336872683 5834704227 6008177423 10673745366 11669408454 12016354846 18024532269 19568533171 36049064538 39137066342 58705599513 66089951653 117411199026 132179903306 198269854959 318433403419 396539709918 636866806838 955300210257 1910600420514 3502767437609 7005534875218 10508302312827 21016604625654