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145834567617772 = 2211175472297155171
BaseRepresentation
bin100001001010001011000001…
…100110010100110011101100
3201010100122111202120100000201
4201022023001212110303230
5123103323143302232042
61234055250412003244
742501125351535055
oct4112130146246354
9633318452510021
10145834567617772
1142516102580350
1214433871760524
13634b1aa206317
142802605d1172c
1511cd759b221b7
hex84a2c1994cec

145834567617772 has 96 divisors (see below), whose sum is σ = 295457985075456. Its totient is φ = 62247550310400.

The previous prime is 145834567617757. The next prime is 145834567617839. The reversal of 145834567617772 is 277716765438541.

It is a super-2 number, since 2×1458345676177722 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145834567617695 and 145834567617704.

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, 939753747 + ... + 939908917.

It is an arithmetic number, because the mean of its divisors is an integer number (3077687344536).

Almost surely, 2145834567617772 is an apocalyptic number.

It is an amenable number.

145834567617772 is an abundant number, since it is smaller than the sum of its proper divisors (149623417457684).

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

145834567617772 is a wasteful number, since it uses less digits than its factorization.

145834567617772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158047 (or 158045 counting only the distinct ones).

The product of its digits is 1659571200, while the sum is 73.

The spelling of 145834567617772 in words is "one hundred forty-five trillion, eight hundred thirty-four billion, five hundred sixty-seven million, six hundred seventeen thousand, seven hundred seventy-two".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 547 748 1094 2188 2297 4594 6017 9188 9299 12034 18598 24068 25267 37196 39049 50534 78098 101068 102289 155171 156196 204578 310342 409156 429539 620684 859078 1256459 1706881 1718156 2512918 2637907 3413762 5025836 5275814 6827524 10551628 13821049 21359803 27642098 29016977 42719606 55284196 58033954 84878537 85439212 116067908 169757074 234957833 339514148 356427787 469915666 712855574 933663907 939831332 1425711148 1442935129 1867327814 2885870258 3734655628 3920705657 5771740516 6059272379 7841411314 12118544758 15682822628 15872286419 24237089516 31744572838 63489145676 66651996169 133303992338 194965999489 266607984676 389931998978 779863997956 2144625994379 3314421991313 4289251988758 6628843982626 8578503977516 13257687965252 36458641904443 72917283808886 145834567617772