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20357610406098 = 2377339111697723
BaseRepresentation
bin1001010000011111000000…
…01000110000000011010010
32200002011112212112101120020
410220033200020300003102
510132014341230443343
6111144053534124310
74200534364226010
oct450174010600322
980064485471506
1020357610406098
1165396833970a9
122349536650696
13b48939788524
145054567418b0
152548350c9b83
hex1283e02300d2

20357610406098 has 64 divisors (see below), whose sum is σ = 47181189629952. Its totient is φ = 5735312369280.

The previous prime is 20357610406033. The next prime is 20357610406129. The reversal of 20357610406098 is 89060401675302.

It is a self number, because there is not a number n which added to its sum of digits gives 20357610406098.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11142265 + ... + 12839987.

It is an arithmetic number, because the mean of its divisors is an integer number (737206087968).

It is a 1-persistent number, because it is pandigital, but 2⋅20357610406098 = 40715220812196 is not.

Almost surely, 220357610406098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20357610406098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23590594814976).

20357610406098 is an abundant number, since it is smaller than the sum of its proper divisors (26823579223854).

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

20357610406098 is a wasteful number, since it uses less digits than its factorization.

20357610406098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701719.

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 20357610406098 in words is "twenty trillion, three hundred fifty-seven billion, six hundred ten million, four hundred six thousand, ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1533 3066 3911 7822 11733 23466 27377 54754 82131 164262 285503 571006 856509 1697723 1713018 1998521 3395446 3997042 5093169 5995563 10186338 11884061 11991126 23768122 35652183 71304366 123933779 247867558 371801337 743602674 867536453 1735072906 2602609359 5205218718 6639794653 13279589306 19919383959 39838767918 46478562571 92957125142 139435687713 278871375426 484705009669 969410019338 1454115029007 2908230058014 3392935067683 6785870135366 10178805203049 20357610406098