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26157355312440 = 23351131639231557
BaseRepresentation
bin1011111001010001110111…
…10111110010010100111000
310102121121201001210011020210
411330220323313302110320
511412030230424444230
6131344304555351120
75336543435434662
oct574507367622470
9112547631704223
1026157355312440
1183752aa175750
122b255794524a0
1311798219c2161
14666046609532
1530562d4eeeb0
hex17ca3bdf2538

26157355312440 has 128 divisors (see below), whose sum is σ = 88367370577920. Its totient is φ = 6136622937600.

The previous prime is 26157355312411. The next prime is 26157355312441. The reversal of 26157355312440 is 4421355375162.

It is a self number, because there is not a number n which added to its sum of digits gives 26157355312440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26157355312441) 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, 319574859 + ... + 319656698.

It is an arithmetic number, because the mean of its divisors is an integer number (690370082640).

Almost surely, 226157355312440 is an apocalyptic number.

26157355312440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26157355312440 is an abundant number, since it is smaller than the sum of its proper divisors (62210015265480).

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

26157355312440 is a wasteful number, since it uses less digits than its factorization.

26157355312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639231613 (or 639231609 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 26157355312440 in words is "twenty-six trillion, one hundred fifty-seven billion, three hundred fifty-five million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 372 440 465 620 660 682 744 930 1023 1240 1320 1364 1705 1860 2046 2728 3410 3720 4092 5115 6820 8184 10230 13640 20460 40920 639231557 1278463114 1917694671 2556926228 3196157785 3835389342 5113852456 6392315570 7031547127 7670778684 9588473355 12784631140 14063094254 15341557368 19176946710 19816178267 21094641381 25569262280 28126188508 35157735635 38353893420 39632356534 42189282762 56252377016 59448534801 70315471270 76707786840 79264713068 84378565524 99080891335 105473206905 118897069602 140630942540 158529426136 168757131048 198161782670 210946413810 217977960937 237794139204 281261885080 297242674005 396323565340 421892827620 435955921874 475588278408 594485348010 653933882811 792647130680 843785655240 871911843748 1089889804685 1188970696020 1307867765622 1743823687496 2179779609370 2377941392040 2615735531244 3269669414055 4359559218740 5231471062488 6539338828110 8719118437480 13078677656220 26157355312440