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10434490990 = 25711373071193
BaseRepresentation
bin10011011011111000…
…11011001001101110
3222221012100001201021
421231330123021232
5132332212202430
64443223204354
7516401465350
oct115574331156
928835301637
1010434490990
114474aa8580
1220325a66ba
13ca3a16c31
1470db450d0
154110d607a
hex26df1b26e

10434490990 has 128 divisors (see below), whose sum is σ = 24148067328. Its totient is φ = 3151457280.

The previous prime is 10434490981. The next prime is 10434490999. The reversal of 10434490990 is 9909443401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10434490981) and next prime (10434490999).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434490999) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8745834 + ... + 8747026.

It is an arithmetic number, because the mean of its divisors is an integer number (188656776).

Almost surely, 210434490990 is an apocalyptic number.

10434490990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10434490990 is an abundant number, since it is smaller than the sum of its proper divisors (13713576338).

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

10434490990 is a wasteful number, since it uses less digits than its factorization.

10434490990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562.

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 10434490990 in words is "ten billion, four hundred thirty-four million, four hundred ninety thousand, nine hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 35 37 55 70 74 77 110 154 185 259 307 370 385 407 518 614 770 814 1193 1295 1535 2035 2149 2386 2590 2849 3070 3377 4070 4298 5698 5965 6754 8351 10745 11359 11930 13123 14245 16702 16885 21490 22718 23639 26246 28490 33770 41755 44141 47278 56795 65615 79513 83510 88282 91861 113590 118195 124949 131230 159026 183722 220705 236390 249898 308987 366251 397565 441410 459305 485551 617974 624745 732502 795130 874643 918610 971102 1249490 1544935 1749286 1831255 2427755 2563757 3089870 3398857 3662510 4028761 4373215 4855510 5127514 6797714 8057522 8746430 12818785 13551287 16994285 20143805 25637570 27102574 28201327 33988570 40287610 56402654 67756435 94859009 135512870 141006635 149064157 189718018 282013270 298128314 474295045 745320785 948590090 1043449099 1490641570 2086898198 5217245495 10434490990