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61374141465 = 357133110931327
BaseRepresentation
bin111001001010001011…
…110001010000011001
312212102021021102110120
4321022023301100121
52001143240011330
644110032503453
74301623411020
oct711213612031
9185367242416
1061374141465
112403511496a
12ba8a0aab89
135a31353a50
142d831938b7
1518e31dac10
hexe4a2f1419

61374141465 has 128 divisors (see below), whose sum is σ = 124966797312. Its totient is φ = 25021301760.

The previous prime is 61374141419. The next prime is 61374141481. The reversal of 61374141465 is 56414147316.

It is not a de Polignac number, because 61374141465 - 212 = 61374137369 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46249632 + ... + 46250958.

It is an arithmetic number, because the mean of its divisors is an integer number (976303104).

Almost surely, 261374141465 is an apocalyptic number.

61374141465 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

61374141465 is an abundant number, since it is smaller than the sum of its proper divisors (63592655847).

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

61374141465 is a wasteful number, since it uses less digits than its factorization.

61374141465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479.

The product of its digits is 241920, while the sum is 42.

The spelling of 61374141465 in words is "sixty-one billion, three hundred seventy-four million, one hundred forty-one thousand, four hundred sixty-five".

Divisors: 1 3 5 7 13 15 21 31 35 39 65 91 93 105 155 195 217 273 403 455 465 651 1085 1093 1209 1327 1365 2015 2821 3255 3279 3981 5465 6045 6635 7651 8463 9289 14105 14209 16395 17251 19905 22953 27867 33883 38255 41137 42315 42627 46445 51753 71045 86255 99463 101649 114765 120757 123411 139335 169415 205685 213135 237181 258765 287959 298389 362271 440479 497315 508245 534781 603785 617055 711543 863877 1185905 1321437 1439795 1450411 1491945 1604343 1811355 2202395 2673905 3083353 3557715 3743467 4319385 4351233 6607185 7252055 8021715 9250059 10152877 11230401 15416765 18717335 18855343 21756165 30458631 44962741 46250295 50764385 56152005 56566029 94276715 131987401 134888223 152293155 224813705 282830145 314739187 395962203 584515633 659937005 674441115 944217561 1573695935 1753546899 1979811015 2922578165 4091609431 4721087805 8767734495 12274828293 20458047155 61374141465