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30107192374952 = 2373111317614163
BaseRepresentation
bin1101101100001111000001…
…00000011011011010101000
310221121012221000001121100022
412312013200200123122220
512421234012221444302
6144011015255500012
76225113202503000
oct666074040333250
9127535830047308
1030107192374952
119658430225990
123462b85987608
1313a513306c354
147612a5723000
1537325567c8a2
hex1b61e081b6a8

30107192374952 has 128 divisors (see below), whose sum is σ = 72365014656000. Its totient is φ = 11640530865600.

The previous prime is 30107192374949. The next prime is 30107192374993. The reversal of 30107192374952 is 25947329170103.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30107192374894 and 30107192374903.

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, 147023 + ... + 7761185.

It is an arithmetic number, because the mean of its divisors is an integer number (565351677000).

Almost surely, 230107192374952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30107192374952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36182507328000).

30107192374952 is an abundant number, since it is smaller than the sum of its proper divisors (42257822281048).

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

30107192374952 is a wasteful number, since it uses less digits than its factorization.

30107192374952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614332 (or 7614314 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 53.

The spelling of 30107192374952 in words is "thirty trillion, one hundred seven billion, one hundred ninety-two million, three hundred seventy-four thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 131 154 196 262 308 343 392 524 539 616 686 917 1048 1078 1372 1441 1834 2156 2744 2882 3668 3773 4312 5764 6419 7336 7546 10087 11528 12838 15092 20174 25676 30184 40348 44933 51352 70609 80696 89866 141218 179732 282436 359464 494263 564872 988526 1977052 3954104 7614163 15228326 30456652 53299141 60913304 83755793 106598282 167511586 213196564 335023172 373093987 426393128 586290551 670046344 746187974 997455353 1172581102 1492375948 1994910706 2345162204 2611657909 2984751896 3989821412 4104033857 4690324408 5223315818 6982187471 7979642824 8208067714 10446631636 10972008883 13964374942 16416135428 20893263272 21944017766 27928749884 28728236999 32832270856 43888035532 48875312297 55857499768 57456473998 76804062181 87776071064 97750624594 114912947996 153608124362 195501249188 229825895992 307216248724 342127186079 391002498376 537628435267 614432497448 684254372158 1075256870534 1368508744316 2150513741068 2737017488632 3763399046869 4301027482136 7526798093738 15053596187476 30107192374952